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Finding the Third Proportional to 1,370,764,974 and 2,088,287,613

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Solution

The third proportional to 1,370,764,974 and 2,088,287,613 is: 3,181,395,233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370,764,974 : 2,088,287,613 = 2,088,287,613 : x
  2. Step 2: Convert to fraction form
    1,370,764,974/2,088,287,613 = 2,088,287,613/x
  3. Step 3: Cross multiply
    1,370,764,974x = 2,088,287,613 × 2,088,287,613
  4. Step 4: Simplify right side
    1,370,764,974x = 4,360,945,154,609,238,016
  5. Step 5: Solve for x
    x = 4,360,945,154,609,238,016/1,370,764,974
  6. Step 6: Final answer
    x = 3,181,395,233.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.